Find answers to your questions and expand your knowledge with IDNLearn.com. Find the answers you need quickly and accurately with help from our knowledgeable and dedicated community members.

PLEASE Answer! Will give thanks (profile too) and 5-star rating and brainliest if it's a GOOD response!
ABCD is a quadrilateral. What is the measure of angle BAD? State your reasons.


PLEASE Answer Will Give Thanks Profile Too And 5star Rating And Brainliest If Its A GOOD Response ABCD Is A Quadrilateral What Is The Measure Of Angle BAD State class=

Sagot :

Answer:

m∠BAD = 144°

explanation:

a quadrilateral has total 360° interior angle.

solve:

↦ 4x + 3x + x + 2x = 360°

↦ 10x = 360°

↦ x = 360°/10

↦ x = 36°

Find m∠BAD:

↦ 4x

↦ 4(36)

↦ 144°

Answer:

m∠BAD = 144°

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

⇒ m∠A + m∠B + m∠C + m∠D = 360°

⇒ 4x + x + 2x + 3x = 360°

⇒ 10x = 360°

⇒ x = 36°

⇒ m∠BAD = 4x

⇒ m∠BAD = 4 × 36 = 144°